Explicit Lie-Poisson integration and the Euler equations

Robert I. McLachlan

doi:10.1103/physrevlett.71.3043

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arXiv · chao-dyn/9304011

Explicit Lie-Poisson integration and the Euler equations

Robert I. McLachlan

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Abstract

We give a wide class of Lie-Poisson systems for which explicit, Lie-Poisson integrators, preserving all Casimirs, can be constructed. The integrators are extremely simple. Examples are the rigid body, a moment truncation, and a new, fast algorithm for the sine-bracket truncation of the 2D Euler equations.

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Robert I. McLachlan. 1993-04-28. Explicit Lie-Poisson integration and the Euler equations. https://doi.org/10.1103/physrevlett.71.3043

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